Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.4 Library of Functions; Piecewise-defined Functions - 1.4 Assess Your Understanding - Page 86: 45

Answer

$a) f(1.2)=int [(2)(1.2)]=int (2.4)=2 \\ b) f(1.6)=int [(2)(1.6)]=int (3.2)=3 \\ c) f(-1.8)=(2)(-1.8)=int(-3.6)=-4 $

Work Step by Step

We are given: $f(x)=int(2x)$ Note that the notation $int (x)$ means: the largest integer that is less than or equal to $x$. We simplify the given equation by substituting the $x$ values into the equation. $a) f(1.2)=int [(2)(1.2)]=int (2.4)=2 \\ b) f(1.6)=int [(2)(1.6)]=int (3.2)=3 \\ c) f(-1.8)=(2)(-1.8)=int(-3.6)=-4 $
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